Question
Find the simplified Quotient , and state the domain.
Hint:
The expansions of certain identities are:
We are asked to find the quotient and state the domain of the expression.
The correct answer is: the domain is; (-∞, 4) ∪ (4, ∞)
Step 1 of 3:
The given expression is:
Take the reciprocal of the second expression and then multiply it with the first expression. This is because it has the same effect as division;
Step 2 of 3:
Simplify the expression and cancel out the common factors;
Thus, the quotient is 
.
Step 3 of 3:
The domain of the expression should exclude the value for which the denominator attains a zero value.
x - 4 = 0
x = 4
Thus, the domain is; (-∞, 4) ∪ (4, ∞)
Step 2 of 3:
Simplify the expression and cancel out the common factors;
Thus, the quotient is
.Step 3 of 3:
The domain of the expression should exclude the value for which the denominator attains a zero value.
x - 4 = 0
x = 4
Thus, the domain is; (-∞, 4) ∪ (4, ∞)
Division of an expression by zero is not defined. That is why; we exclude the values of zero for the denominator.
Related Questions to study
Find the simplified form of each product , and give the domain.
Find the simplified form of each product , and give the domain.
What is the simplified form of each rational expression ? What is the domain ?
What is the simplified form of each rational expression ? What is the domain ?
Write the equation in slope-intercept form of the line that passes through the points (4, 0) and (0, 2).
The slope intercept form is one way to express the line equation y = mx + b. The slope of the line is denoted by m, while the y-intercept is by b. When you want to find a point on a line or solve for y, if you know the value of x, you use the slope-intercept form.
Y = mx+b
y = coordinate y
m = slope
x = coordinate x
b = y-intercept
Given two points on a line, we can write an equation for that line by first determining the slope between those points and then solving for the y-intercept in the slope-intercept equation y = mx + b.
Write the equation in slope-intercept form of the line that passes through the points (4, 0) and (0, 2).
The slope intercept form is one way to express the line equation y = mx + b. The slope of the line is denoted by m, while the y-intercept is by b. When you want to find a point on a line or solve for y, if you know the value of x, you use the slope-intercept form.
Y = mx+b
y = coordinate y
m = slope
x = coordinate x
b = y-intercept
Given two points on a line, we can write an equation for that line by first determining the slope between those points and then solving for the y-intercept in the slope-intercept equation y = mx + b.
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. The height in units can be represented by x + 8. What is the side length of the base of the rectangular prism, in unit.
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